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Updated: Nov 21, 2025

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Vortex Dynamics in a Compact Kardar-Parisi-Zhang System.

A Zamora1, N Lad1, M H Szymanska1

  • 1Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom.

Physical Review Letters
|January 15, 2021
PubMed
Summary
This summary is machine-generated.

We investigated vortex dynamics in a 2D nonequilibrium system using the Kardar-Parisi-Zhang equation. Our findings reveal distinct critical regimes due to nonequilibrium and spatial anisotropy, with an analytical model matching numerical results.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Nonlinear Dynamics

Background:

  • Vortex dynamics are crucial in 2D systems, especially in nonequilibrium scenarios.
  • Phase-ordering kinetics describe how systems transition to ordered states.
  • The Kardar-Parisi-Zhang (KPZ) equation models surface growth and related phenomena.

Purpose of the Study:

  • To investigate vortex dynamics in a 2D nonequilibrium system after a critical quench.
  • To understand the influence of spatial anisotropy on these dynamics.
  • To develop an analytical model for vortex evolution and interaction.

Main Methods:

  • Exact numerical solutions of the compact Kardar-Parisi-Zhang equation.
  • Analysis of phase-ordering kinetics.
  • Application of scaling arguments for analytical modeling.

Main Results:

  • Identified distinct critical regimes arising from the interplay of nonequilibrium and spatial anisotropy.
  • Developed an analytical expression for vortex evolution.
  • Confirmed the interaction potential between vortices in this system.

Conclusions:

  • The study elucidates complex vortex behavior in anisotropic 2D nonequilibrium systems.
  • The developed analytical model accurately describes observed phenomena.
  • Findings contribute to understanding phase transitions and emergent behavior in complex systems.